Numerical computation in science and engineering

著者

書誌事項

Numerical computation in science and engineering

C. Pozrikidis

（Topics in chemical engineering）

Oxford University Press, 2008

2nd ed

大学図書館所蔵 件 / 全4件

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注記

Includes bibliographical references (p. 1220-1230) and index

内容説明・目次

内容説明

Designed for non-expert student, enthusiast, or researcher, this two-volume text provides an accessible introduction to numerical computation and its applications in science and engineering. It assumes no prior knowledge beyond undergraduate calculus and elementary computer programming. Fundamental and practical issues are discussed in a unified manner with a generous, but not excessive, dose of numerical analysis. Topics are introduced on a need to know basis to concisely illustrate the practical implementation of a variety of algorithms and demystify seemingly esoteric numerical methods. Algorithms that can be explained without too much elaboration and can be implemented within a few dozen lines of computer code are discussed in detail, and computer programs in Fortran, C++, and Matlab are provided. Algorithms whose underlying theories require long, elaborate explanations are discussed at the level of first principles, and references for further information are given. The book uses numerous schematic illustrations to demonstrate concepts and facilitate their understanding by providing readers with a helpful interplay between ideas and visual images. Real-world examples drawn from various branches of science and engineering are presented. Updated information on computer technology and numerical methods is included, many new and some original topics are introduced. Additional solved and unsolved problems are included.

目次

  • 1. Computers and Computing
  • 2. Numerical Matrix Algebra and Matrix Calculus
  • 3. Linear Algebraic Equations
  • 4. Nonlinear Algebraic Equations
  • 5. Eigenvalues of Matrices
  • 6. Function Interpolation and Differentiation
  • 7. Numerical Integration
  • 8. Function Approximation
  • 9. Ordinary Differential Equations
  • 10. Discretization and Expansion Methods for ODEs
  • 11. The Finite-Difference Method for PDEs
  • 12. Finite-Difference Method for the Poisson and Laplace Equations
  • 13. Finite-Difference Method for Convection-Diffusion
  • 14. The Boundary-Element Method
  • 15. The Finite-Element Method
  • Appendices
  • A. Calculus Primer
  • B. Orthogonal Polynomials
  • C. Unix Primer
  • D. C++/Matlab/Fortran 77 Dictionary
  • E. ASCII Code
  • F. Matlab Primer

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